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Finding the Fourth Proportional to 34,187.84, 51,281.54 and 18,400.31

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Solution

The fourth proportional to 34,187.84, 51,281.54 and 18,400.31 is: 27,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,187.84 : 51,281.54 = 18,400.31 : x
  2. Step 2: Convert to fraction form
    34,187.84/51,281.54 = 18,400.31/x
  3. Step 3: Cross multiply
    34,187.84x = 51,281.54 × 18,400.31
  4. Step 4: Simplify right side
    34,187.84x = 943,595,884.87
  5. Step 5: Solve for x
    x = 943,595,884.87/34,187.84
  6. Step 6: Final answer
    x = 27,600.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.